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Finding the Fourth Proportional to 33,461.28, 46,175.10 and 20,040

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Solution

The fourth proportional to 33,461.28, 46,175.10 and 20,040 is: 27,654.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,461.28 : 46,175.10 = 20,040 : x
  2. Step 2: Convert to fraction form
    33,461.28/46,175.10 = 20,040/x
  3. Step 3: Cross multiply
    33,461.28x = 46,175.10 × 20,040
  4. Step 4: Simplify right side
    33,461.28x = 925,349,004
  5. Step 5: Solve for x
    x = 925,349,004/33,461.28
  6. Step 6: Final answer
    x = 27,654.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.